ERIC Number: ED311077
Record Type: Non-Journal
Publication Date: 1989-Jun
Reference Count: N/A
On the Efficiency of IRT Models When Applied to Different Sampling Designs. Project Psychometric Aspects of Item Banking No. 45.
Berger, Martijn P. F.
The problem of obtaining designs that result in the most precise parameter estimates is encountered in at least two situations where item response theory (IRT) models are used. In so-called two-stage testing procedures, certain designs that match difficulty levels of the test items with the ability of the examinees may be located. Such designs have the advantage that the variance of the estimated parameters can be controlled. In situations in which IRT models are applied to different groups, efficient multiple-matrix sampling designs are applicable. The choice of matrix sampling designs will also influence the variance of the estimated parameters. In this paper, heuristic arguments are given to formulate the efficiency of a design in terms of an asymptotic generalized variance criterion, and a comparison of the efficiencies of several designs is made. It is shown that some designs may be found to be most efficient for the one-parameter model and two-parameter model, but not necessarily so for the three-parameter model. Five figures are included. (Author)
Descriptors: Difficulty Level, Efficiency, Equations (Mathematics), Heuristics, Item Sampling, Latent Trait Theory, Mathematical Models, Test Items
Bibliotheek, Department of Education, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands.
Publication Type: Reports - Evaluative
Education Level: N/A
Authoring Institution: Twente Univ. of Technology, Enschede (Netherlands).